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136076867028 = 22332278776329
BaseRepresentation
bin111111010111011010…
…0000011010111010100
3111000020102122002001000
41332232310003113110
54212141134221103
6142302435303300
712555053166564
oct1765664032724
9430212562030
10136076867028
1152789931293
1222457a4ab30
13caa7b7493b
14682c5a6da4
1538165d1aa3
hex1faed035d4

136076867028 has 96 divisors (see below), whose sum is σ = 354806121600. Its totient is φ = 45100516608.

The previous prime is 136076867027. The next prime is 136076867033. The reversal of 136076867028 is 820768670631.

136076867028 is a `hidden beast` number, since 1 + 3 + 607 + 6 + 8 + 6 + 7 + 0 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136076867027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21497368 + ... + 21503696.

It is an arithmetic number, because the mean of its divisors is an integer number (3695897100).

Almost surely, 2136076867028 is an apocalyptic number.

136076867028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136076867028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177403060800).

136076867028 is an abundant number, since it is smaller than the sum of its proper divisors (218729254572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136076867028 is a wasteful number, since it uses less digits than its factorization.

136076867028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 136076867028 in words is "one hundred thirty-six billion, seventy-six million, eight hundred sixty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 227 454 681 877 908 1362 1754 2043 2631 2724 3508 4086 5262 6129 6329 7893 8172 10524 12258 12658 15786 18987 23679 24516 25316 31572 37974 47358 56961 75948 94716 113922 170883 199079 227844 341766 398158 597237 683532 796316 1194474 1436683 1791711 2388948 2873366 3583422 4310049 5375133 5550533 5746732 7166844 8620098 10750266 11101066 12930147 16651599 17240196 21500532 22202132 25860294 33303198 38790441 49954797 51720588 66606396 77580882 99909594 149864391 155161764 199819188 299728782 599457564 1259970991 2519941982 3779912973 5039883964 7559825946 11339738919 15119651892 22679477838 34019216757 45358955676 68038433514 136076867028